Assuming North American power standards and a 20a circuit… Should be fine.
Ohms law says that a 1500w heater draws about 12.5 amps on a 120v circuit. As long as the switch handles more than that and can handle the startuo suge from the fan. You’re fine.
Also. I’ve one on a GE wall outlet in my bedroom automated against thd differences from my main home thermostat for about two years. I also have that exact device on my washing machine to monitor power draw.